Fast and accurate electromagnetic solutions of finite periodic optical structures

DSpace/Manakin Repository

español português english

Fast and accurate electromagnetic solutions of finite periodic optical structures

Show full item record

Title: Fast and accurate electromagnetic solutions of finite periodic optical structures
Author: Serna Martín, Alberto; Fernández Manzano, Mario; Landesa Porras, Luis; Martínez Solis, Diego; Taboada Varela, Jose Manuel
Abstract: Las aplicaciones electromagnéticas de materiales periódicos se han hecho populares en muchas aplicaciones modernas de óptica y RF. El cálculo preciso de la respuesta electromagnética de grandes estructuras requiere resolver problemas con un gran número de incógnitas. Los métodos rápidos son útiles para tratar problemas tan grandes, pero, en general, no aprovechan las propiedades de periodicidad. Sobre la base del comportamiento de las matrices de impedancia involucradas en la solución de las ecuaciones integrales de superficie con el Método de Momentos, se implementa una solución acelerada basada en la FFT. El enfoque presentado divide la matriz de impedancia original y aplica la FFT para calcular la solución exacta del producto vector de matriz en un proceso iterativo. La solución propuesta logra un costo de memoria lineal proporcional a Ơ (N) y un tiempo de cálculo de Ơ (N log N), donde N es el número de problema de incógnitas. Además, en este documento, las ventajas de esta técnica se muestran en las aplicaciones desarrolladas.Electromagnetic applications of periodic materials have become popular in many modern optical and RF applications. The accurate computation of the electromagnetic response of large structures requires solving problems with high number of unknowns. Fast methods are useful to deal with such big problems, but, in general they do not take advantage of the periodicity properties. Based on the behaviour of impedance matrices involved in the solution of the surface integral equations with the Method of Moments, an accelerated solution based on the FFT is implemented. The presented approach slots the original impedance matrix and it applies the FFT to calculate the exact solution of the matrix vector product in an iterative process. The proposed solution achieves a linear memory cost proportional to Ơ (N) and a computing time of Ơ (N log N), where N is the problem number of unknowns. Also, in this paper, the advantages of this technique are shown in the developed applications.
URI: http://hdl.handle.net/10662/8853
Date: 2017


Files in this item

Files Size Format View
OE_25_018031.pdf 2.568Mb PDF View  Thumbnail

The following license files are associated with this item:

This item appears in the following Collection(s)

Show full item record

Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International

Search DSpace


Browse

My Account

Statistics

Help

Redes sociales